Homogeneous curve refinement operators admit exact fixed-width ReLU realizations with depth O(n) via loop controllers that transport residual orbits on polygonal loops.
von Koch,Sur une courbe continue sans tangente, obtenue par une construction g´ eom´ etrique ´ el´ ementaire, Arkiv f¨ or Matematik1(1904), 681–704
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Exact Loop Controllers for ReLU Realization of Homogeneous Curve Refinements
Homogeneous curve refinement operators admit exact fixed-width ReLU realizations with depth O(n) via loop controllers that transport residual orbits on polygonal loops.